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(D) The standard equation for a simple harmonic progressive wave is given by $x = A \cos(\omega t + \phi)$.Comparing the given equation $x = 0.05 \cos

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$2$

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(D) The standard equation for a simple harmonic progressive wave is given by $x = A \cos(\omega t + \phi)$.Comparing the given equation $x = 0.05 \cos \left( 4\pi t + \frac{\pi}{4} \right)$ with the standard equation,we get the angular frequency $\omega = 4\pi \, rad/s$.The relationship between frequency $f$ and angular frequency $\omega$ is $\omega = 2\pi f$.Therefore,$f = \frac{\omega}{2\pi} = \frac{4\pi}{2\pi} = 2 \, Hz$.

The equation of a progressive wave is given by $x = 0.05 \cos \left( 4\pi t + \frac{\pi}{4} \right) \, m$. What is the frequency of the wave in $Hz$?

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